Consider two thin, coaxial, coplanar, uniformly charged rings with radii a and b푏 (a

electric potential, V = -q(a²- b²)/8π∈₀r³

Explanation:

Question (in proper order)

Consider two thin coaxial, coplanar, uniformly charged rings with radii a and b (b < a) and charges q and -q, respectively. Determine the potential at large distances from the rings

consider the attached diagram below

the electric potential at point p, distance r from the center of the outer charged ring with radius a is as given below

Va = q/4π∈₀ [1/(a² + b²)¹/²]

Also

the electric potential at point p, distance r from the center of the inner charged ring with radius b is

Sum of the potential at point p is

V = Va + Vb

that is

the expression below can be written as the equivalent

likewise,

hence,

1/r is common to both equation

hence, we have it out and joined to the 4π∈₀ denominator that is outside

by reciprocal rule

1/a² = a⁻²

by binomial expansion of fractional powers

where

if we expand the expression we have the equivalent as shown

also,

the above equation becomes

Answer

OR

i dont know but

explanation:

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